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9 September, 01:03

A 200 L balloon is blown up inside at 100 K. It is then taken outside in the hot sun and heated to 400K. What is the new volume?

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  1. 9 September, 01:28
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    According to Charles's Law, volume of an ideal gas is directly proportional to temperature at constant pressure,

    V₁ / T₁ = V₂/T₂

    where V₁ and V₂ are the initial and final volume respectively and T₁ and T₂ are initial and final temperature respectively.

    Given, initial volume of balloon = 200 L

    Initial temperature of balloon = 100 K

    Final temperature of balloon = 400 K

    Plugging the given data in Charles's law we can calculate the final or new volume of the balloon,

    V₂ = V₁/T₁ x T₂

    = (200 L / 100 K) x 400 K = 800 L
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